Preheat your pan before adding food to it.
Cook with oil or butter, instead of cooking spray, which will form a gummy layer that will be very hard to remove, according to the site Hard Anoddized Cookware.
Remove any burnt-on food, by making a solution of equal parts baking soda and water. Allow it to soak (up to overnight, suggests The New Homemaker) in the cookware.
Hand-wash your cookware, using a sponge and hot water. Commercial detergents may discolor your pan, and small amounts of food may actually be easier to remove from anodized aluminum by hand-washing.
Dry your cookware with a soft, absorbent cloth immediately after washing to avoid spots.
Remove any remaining discoloration using a cookware cleaner formulated specifically for anodized aluminum. Mix the cleaner with water, in the proportions recommended by the manufacturer, and, wearing gloves, rub the cleaner into the discoloration until removed.